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The flow and heat transfer performances of magnetic nanofluid in a duct in presence of magnetic fields with different direction

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An Erratum to this article was published on 05 October 2023

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Abstract

The flow and heat transfer characteristics of magnetic nanofluids in a circular channel under the action of magnetic fields were studied through numerical simulation based on the finite element method. The results show that there are obvious secondary vortices on the cross-section, and a swirling flow is formed in the duct under the coupling effects of the magnetic field, velocity distribution, and thermal variations which destroys the boundary layer, accelerates the mixing of fluids, and enhances heat transfer. In the studied range, the maximum heat transfer coefficient can be increased by 102.65 %, and the maximum comprehensive heat transfer factor J is 1.69 compared to the ferrofluid not affected by the external magnetic field. In addition, the effect of enhancing heat transfer gradually decreases with the increase of θ, until heat transfer is slightly inhibited when the magnetic field is parallel to the flow direction.

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Abbreviations

D :

Inner diameter

l :

Total length

a :

Thickness

q :

Heat flux

T :

Temperature

C P :

Specific heat

F m :

Kelvin body force

M :

Magnetization

B :

Magnetic flux density

H :

Magnetic field intensity

Re :

Reynolds number

U :

Axial speed

P :

Pressure drop

h :

Heat transfer coefficient

f :

Flow resistance coefficient

U* :

Axial relative velocity

T* :

Dimensionless temperature

Fz :

Magnetic force in the z direction

Fy :

Magnetic force in the y direction

T0 :

At reference [300K]

J :

Comprehensive heat transfer factor

∅:

Volume fraction

ρ :

Density

θ :

Angles

μ :

Dynamic viscosity

χ m :

Magnetic susceptibility

β :

Thermal expansion coefficient

k :

Thermal conductivity

μ 0 :

Permeability of free space

η :

Heat transfer enhancement rate

ϑ :

Flow resistance growth rate

α :

Boltzmann constant

δ :

Correction function of Fe3O4

in :

Inlet

nf :

Nanofluid

f :

Fluid

np :

Nanoparticle

0:

No magnetic field [0G]

w :

Inter wall

ave :

Average

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Correspondence to Bin Gong.

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Gong Bin is a Professor of the School of Mechanical and Power Engineering, Shenyang University of Chemical Technology, China. His research interests include the industrial application and application basis of chemical process intensification technology.

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Wang, C., Rong, D., Zhang, W. et al. The flow and heat transfer performances of magnetic nanofluid in a duct in presence of magnetic fields with different direction. J Mech Sci Technol 37, 4899–4909 (2023). https://doi.org/10.1007/s12206-023-0843-5

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  • DOI: https://doi.org/10.1007/s12206-023-0843-5

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